Kepler's Third Law Kepler's Third Law of planetary motion states that the square of the period T of a planet (the time it takes for the planet to make a complete revolution about the sun) is directly proportional to the cube of its average dis- tance d from the sun. (a) Express Kepler's Third Law as an equation. (b) Find the constant of proportionality by using the fact that for our planet the period is about 365 days and the aver- age distance is about 93 million miles. (c) The planet Neptune is about 2.79 X 10° mi from the sun. Find the period of Neptune.
Kepler's Third Law Kepler's Third Law of planetary motion states that the square of the period T of a planet (the time it takes for the planet to make a complete revolution about the sun) is directly proportional to the cube of its average dis- tance d from the sun. (a) Express Kepler's Third Law as an equation. (b) Find the constant of proportionality by using the fact that for our planet the period is about 365 days and the aver- age distance is about 93 million miles. (c) The planet Neptune is about 2.79 X 10° mi from the sun. Find the period of Neptune.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CR: Chapter Review
Problem 115E
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![Kepler's Third Law Kepler's Third Law of planetary motion
states that the square of the period T of a planet (the time it
takes for the planet to make a complete revolution about the
sun) is directly proportional to the cube of its average dis-
tance d from the sun.
(a) Express Kepler's Third Law as an equation.
(b) Find the constant of proportionality by using the fact that
for our planet the period is about 365 days and the aver-
age distance is about 93 million miles.
(c) The planet Neptune is about 2.79 X 10° mi from the sun.
Find the period of Neptune.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4ad06b3-48ba-4904-b9e4-e61b2dbbea90%2F4c4ee93e-5bff-4e8e-8c41-1630b63879ff%2Foqnb7t_processed.png&w=3840&q=75)
Transcribed Image Text:Kepler's Third Law Kepler's Third Law of planetary motion
states that the square of the period T of a planet (the time it
takes for the planet to make a complete revolution about the
sun) is directly proportional to the cube of its average dis-
tance d from the sun.
(a) Express Kepler's Third Law as an equation.
(b) Find the constant of proportionality by using the fact that
for our planet the period is about 365 days and the aver-
age distance is about 93 million miles.
(c) The planet Neptune is about 2.79 X 10° mi from the sun.
Find the period of Neptune.
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